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One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits

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TLDR
In this paper, the authors presented a technique which utilizes unitarity and collinear limits to construct ansatze for one-loop amplitudes in gauge theory, and proved that their $N=4$ ansatz is correct using general properties of the relevant one-loops $n$-point integrals.
Abstract
We present a technique which utilizes unitarity and collinear limits to construct ansatze for one-loop amplitudes in gauge theory. As an example, we obtain the one-loop contribution to amplitudes for $n$ gluon scattering in $N=4$ supersymmetric Yang-Mills theory with the helicity configuration of the Parke-Taylor tree amplitudes. We prove that our $N=4$ ansatz is correct using general properties of the relevant one-loop $n$-point integrals. We also give the ``splitting amplitudes'' which govern the collinear behavior of one-loop helicity amplitudes in gauge theories.

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One-Loop Gluonic Amplitudes from Single Unitarity Cuts

TL;DR: In this article, the integrand of an n-point one-loop integral is transformed into an (n+2)-particle tree level amplitude by cutting a single propagator and putting it on-shell.
Journal ArticleDOI

Color ordering in QCD

TL;DR: In this article, color decompositions of arbitrary tree and one-loop QCD amplitudes are derived into color-ordered objects called primitive amplitudes. And general fermion flip and reversion identities spanning the null space among the amplitudes were derived.
Journal ArticleDOI

Two-loop splitting in double parton distributions

TL;DR: In this paper, double parton distributions (DPDs) receive a short-distance contribution from a single parton splitting to yield the two observed DPDs in the next-to-leading order (NLO) model.
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An All Order Identity between ABJM and N=4 SYM Four-Point Amplitudes

TL;DR: In this article, an exact algebraic identity between the two-loop four-point amplitude in ABJM theory and the corresponding one-loop amplitude in $ \mathcal{N} $ = 4 SYM theory was derived.
References
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Journal ArticleDOI

Amplitude for n-gluon scattering.

TL;DR: A nontrivial squared helicity amplitude is given for the scattering of an arbitrary number of gluons to lowest order in the coupling constant and to leading order inThe number of colors.
Journal ArticleDOI

On analytic properties of vertex parts in quantum field theory

L.D. Landau
- 01 Oct 1959 - 
TL;DR: In this paper, a general method of finding the singularities of quantum field theory values on the basis of graph techniques is described, and a graph-based approach is used to find the singularity of quantum fields.
Journal ArticleDOI

One-loop corrections to five-gluon amplitudes.

TL;DR: This work presents the one-loop helicity amplitudes with five external gluons, a computation that employs string-based methods, new techniques for performing tensor integrals, and improvements in the spinor helicity method.
Journal ArticleDOI

Efficient calculation of one-loop QCD amplitudes

TL;DR: The outline of a new and efficient technique for the calculation of loop amplitudes in a gauge theory based on the technology of four-dimensional heterotic strings is presented, which finds complete agreement with the previous Feynman-diagram calculation of Ellis and Sexton.
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